ABSTRACT
Quantum, which to begin with is quantity with a determinateness or limit in general is, in its complete determinateness, number. Quantity is quantum, or has a limit, both as continuous and as discrete magnitude. Spatial magnitude and numerical magnitude are usually regarded as two species, the former being on its own account a determinate magnitude just as much as the latter. Their difference is held to consist only in the different determinations of continuity and discreteness, but as quantum they stand on the same level. As spatial, the line is quantity in general; the simplest in terms of quantum is the least; and this predicated of a line is the shortest. Extensive and intensive magnitudes are determinatenesses of the quantitative limit itself, whereas quantum is identical with its limit; continuous and discrete magnitudes, on the other hand, are determinations of magnitude in itself, that is, of quantity as such, so far as in quantum abstraction is made from the limit.
